Moduli of Generalized Spin Curves, Class Size and Calculus Learning

广义自旋曲线模、班级规模和微积分学习

• 批准号: 9501617
• 负责人: Tyler Jarvis
• 金额: $ 4.22万
• 依托单位: Mississippi State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-06-01 至 1998-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9501617&HistoricalAwards=false
• 关键词: Moduli; Generalized; Spin; Curves; Class

Jarvis 9501617 This is an award made under the CAREER program to Professor Tyler Jarvis. This product has both an educational component and a research component. The research will be to study the moduli space of higher spin curves and of different compactifications of the resulting moduli space. In particular he hopes to study the moduli of line and vector bundles on degenerating curves. In education he has two projects. The first is a rigorous study of the effect of class size on students in introductory calculus and the second is to develop a new abstract algebra course for junior level students. The mathematical research in this project falls into the general area of arithmetic geometry -a subject that blends two of the oldest areas of mathematics: number theory and geometry. This combination has proved extraordinarily fruitful - having recently solved problems that withstood generations. Among its many consequences are new error correcting codes. Such codes are essential for both modern computers (hard disks) and compact disks. The educational component falls into the broad area of science curriculum reform which is vital if the nation is to meet its need for scientifically trained adults.

贾维斯 9501617 这是职业计划下颁发给泰勒贾维斯教授的奖项。该产品既有教育成分，也有研究成分。研究将是研究更高的自旋曲线的模空间和不同的紧化所产生的模空间。特别是他希望研究模量的线和向量丛退化曲线。在教育方面，他有两个项目。第一个是一个严格的研究班级规模对学生的影响，在微积分入门，第二个是开发一个新的抽象代数课程的初级学生。 数学研究在这个项目属于福尔斯算术几何的一般领域-一个主题，融合了两个最古老的数学领域：数论和几何。 事实证明，这种结合非常富有成效--最近解决了几代人都无法解决的问题。 在它的许多后果是新的纠错码。 这种代码对于现代计算机（硬盘）和光盘都是必不可少的。教育部分福尔斯属于科学课程改革的广泛领域，如果国家要满足对受过科学训练的成年人的需求，这是至关重要的。